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Finding the Third Proportional to 173,424.38 and 378,281.25

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Solution

The third proportional to 173,424.38 and 378,281.25 is: 825,124.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,424.38 : 378,281.25 = 378,281.25 : x
  2. Step 2: Convert to fraction form
    173,424.38/378,281.25 = 378,281.25/x
  3. Step 3: Cross multiply
    173,424.38x = 378,281.25 × 378,281.25
  4. Step 4: Simplify right side
    173,424.38x = 143,096,704,101.56
  5. Step 5: Solve for x
    x = 143,096,704,101.56/173,424.38
  6. Step 6: Final answer
    x = 825,124.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.